MinT - Information on Result #1010337

Information on Result #1010337

Linear OOA(2²⁴⁴, 85, F₂, 3, 128) (dual of [(85, 3), 11, 129]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹¹⁶, 42, F₂, 3, 64) (dual of [(42, 3), 10, 65]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁵¹, 20, F₂, 3, 32) (dual of [(20, 3), 9, 33]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,27P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁶⁵, 22, F₂, 3, 64) (dual of [(22, 3), 1, 65]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁶⁵, 22, F₂, 3, 65) (dual of [(22, 3), 1, 66]-NRT-code), using
      - dual of repetition NRT-code with length 22 [i]
linear OOA(2¹²⁸, 43, F₂, 3, 128) (dual of [(43, 3), 1, 129]-NRT-code), using
- dual of repetition NRT-code with length 43 [i]

Mode: Constructive and linear.

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